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427800366 = 23471093461
BaseRepresentation
bin11001011111111…
…011011100101110
31002210222111210000
4121133323130232
51334004102431
6110241125130
713413146250
oct3137733456
91083874700
10427800366
111aa533824
12bb3297a6
136a826316
1440b5dcd0
15278559e6
hex197fb72e

427800366 has 80 divisors (see below), whose sum is σ = 1105901280. Its totient is φ = 121072320.

The previous prime is 427800353. The next prime is 427800379. The reversal of 427800366 is 663008724.

It is an interprime number because it is at equal distance from previous prime (427800353) and next prime (427800379).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 427800366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 121876 + ... + 125336.

It is an arithmetic number, because the mean of its divisors is an integer number (13823766).

Almost surely, 2427800366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427800366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552950640).

427800366 is an abundant number, since it is smaller than the sum of its proper divisors (678100914).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427800366 is a wasteful number, since it uses less digits than its factorization.

427800366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 427800366 is about 20683.3354660219. The cubic root of 427800366 is about 753.4950158532.

The spelling of 427800366 in words is "four hundred twenty-seven million, eight hundred thousand, three hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 109 126 162 189 218 327 378 567 654 763 981 1134 1526 1962 2289 2943 3461 4578 5886 6867 6922 8829 10383 13734 17658 20601 20766 24227 31149 41202 48454 61803 62298 72681 93447 123606 145362 186894 218043 280341 377249 436086 560682 654129 754498 1131747 1308258 1962387 2263494 2640743 3395241 3924774 5281486 6790482 7922229 10185723 15844458 20371446 23766687 30557169 47533374 61114338 71300061 142600122 213900183 427800366